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Finding the Fourth Proportional to 33,077.25, 49,616.68 and 9,704.43

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Solution

The fourth proportional to 33,077.25, 49,616.68 and 9,704.43 is: 14,556.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.25 : 49,616.68 = 9,704.43 : x
  2. Step 2: Convert to fraction form
    33,077.25/49,616.68 = 9,704.43/x
  3. Step 3: Cross multiply
    33,077.25x = 49,616.68 × 9,704.43
  4. Step 4: Simplify right side
    33,077.25x = 481,501,349.81
  5. Step 5: Solve for x
    x = 481,501,349.81/33,077.25
  6. Step 6: Final answer
    x = 14,556.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.